To find the ratio of the areas of two figures, we first need to understand that the areas of similar figures are proportional to the squares of their corresponding side lengths.
Given that the larger figure has an area of 32 and the smaller figure has an area of 26, we calculate the ratio of their areas as follows:
The ratio of the areas can be written directly as:
\[
\text{Ratio} = \frac{\text{Area of larger figure}}{\text{Area of smaller figure}} = \frac{32}{26}
\]
Simplify this fraction:
\[
\frac{32}{26} = \frac{16}{13}
\]
Therefore, the ratio of the areas of the larger figure to the smaller figure is:
\[
\boxed{16:13}
\]
9. What is the ratio of the areas of the larger figure 32 to the smaller figure 26?
*
16:13
26:32
4:3
256:169
1 answer